A donor sets up an endowment to fund an annual scholarship of . The endowment earns interest per year, compounded annually. Find the amount that must be deposited now if the endowment is to fund one award each year, with one award now and continuing (a) Until twenty awards have been made Round your answer to two decimal places. Enter your answer in accordance to the item a) of the question statement must be deposited. (b) Forever Round your answer to two decimal places. Enter your answer in accordance to the item b) of the question statement must be deposited. eTextbook and Media

Suppose life expectancy in years (l) is a function of two inputs, health expenditures (h) and nutrition expenditures (n) in hundreds of dollars per year. the production function is upper l equals ch superscript 0.40 baseline upper n superscript 0.60l=ch0.40n0.60. beginning with c = 1, a health input of $400400 per year (hequals=44) and a nutrition input of $400400 per year (nequals=44), show that the marginal product of health expenditures and the marginal product of nutrition expenditures are both decreasing. the marginal product of health expenditures when h goes from 44 to 55 is nothing, and the marginal product of health when h goes from 66 to 77 is nothing. (round your answers to three decimal places.)